$3.59 \times 10^6 \textrm{ Pa}$

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This is College Physics Answers with Shaun Dychko. The pressure exerted by the heel of a woman’s high heel shoe is going to equal the force that it exerts divided by its area. So assuming she has only one heel on the floor at a time, that would mean her entire weight which is <i>mg</i> will be on that heel, and this is just before her toe touches the ground, so just the heel. And that’s going to be <i>mg</i> divided by the area of the heel, so that’s 55 kilograms times 9.8 Newtons per kilogram divided by 1.8 squared centimeters of area converted into meters in order to have our units in Pascal in the end. We need to have Newtons on the top divided by meters squared on the bottom in order to have units in Pascals, because a Pascal is a Newton per meter squared. So we have 1.5 centimeters squared times one over 100 centimeters squared, and this works out to 3.59 times ten to the six Pascal.